For questions involving the application of the program Maple to mathematics. NOTE: questions which focus primarily on the program Maple and not on its applications to mathematics are not appropriate for this site.
1
vote
2answers
42 views
Finding Blowup of an ODE with maple
I've been interested in finite blowups of odes lately. I'm looking for a good way to calculate blowup times in maple. Right now all I do is to use dsolve, plot the ode, and then look where the ...
0
votes
1answer
43 views
How write these two motions into one system
f describe the horizontal motion
g describe the vertical motion
have error when put m(t) in x()
Maple code
...
1
vote
1answer
36 views
What is the easiest way to define a complex number in exponential form in maple?
What is the easiest way to define a complex number in exponential form in maple?
Is there a built-in function?
eg: $\underline{Z} = 600 \cdot e^{-j45^\circ}$
0
votes
0answers
42 views
How can I solve this really easy number theory/modular arithmetic problem in Maple?
Math people:
This is more of a Maple question than a math question, but I think I will get an answer more quickly here than at mapleprimes.com. I spent a lot of time on Google, mapleprimes.com, and ...
8
votes
3answers
126 views
is there a name for this function (parity of a finite sequence)?
Variants of this question have been crossposted to Stack Overflow and Computational Science Stack Exchange. Additional answers may be found at these other sites.
Math people:
In an attempt to ...
0
votes
0answers
43 views
Why Syz algorithm for module have dimension problem, how to divide vector and multiply vector at final step to get 1*6 Vector
refer to page 162 in an introduction to grobner basis, william W. Adams
https://skydrive.live.com/redir?resid=E0ED7271C68BE47C!338
https://skydrive.live.com/redir?resid=E0ED7271C68BE47C!339
when ...
0
votes
0answers
45 views
How to calculate Grobner basis for Syz(i,f1,f2,g1,g2)
refer to page 174 in an introduction to grobner bases, william A. Adams
no matter choose first row or second row of i, f1, f2, g1, g2, the maple code not the same as in the book
...
1
vote
1answer
89 views
Numerical values of the Jacobi elliptic function sn: Wolfram Alpha vs. Maple vs. C++?
I have a problem to check the validity of an algorithm I've implemented in C++ to compute the Jacobi elliptic function $\mathrm{sn}(u, k)$ (inspired and improved from Numerical Recipes 3rd edition). I ...
0
votes
1answer
30 views
Finding the derivative of a numeric solution to an ode in maple
I'm looking at functions of the form
$w''''(t)+aw''(t)+f(w(t)) = 0$
In maple I used the following which will return numeric solutions to w,w',w'',w''':
sol := dsolve({de, ics}, type = numeric, ...
0
votes
2answers
56 views
find the largest perfect number less than $10,000$ in Maple
Can anyone tell me how to find largest perfect number less than 10000 in maple?
Actually, I know how to find all the perfect numbers less than or equal to 10000 but I don't know how to find the ...
-1
votes
2answers
44 views
'Or' in a 'If' command in maple [closed]
I was wondering how maple sees the command 'or'. Because maple keeps saying 'Error, numeric exception: division by zero'. In particular, doesn't he go automatically in the loop when the first ...
0
votes
1answer
24 views
Solve nonlinear system in maple
I want to solve the system $A - B = C$ to $A$, with $A$, $B$, $C$ matrices. And the variables in the matrix $B$ and $C$ are a combination of the variables in $A$. How can I do this?
Because ...
0
votes
2answers
31 views
Simple question. How do you solve and factorize this using a CAS tool?
Simple question for you awesome guys :)
I've got the formular for a polynomial:
7x^4-56x^3+224x^2-56x+231=0
The thing i need to do is to solve and factorize the ...
1
vote
0answers
38 views
Plotting characteristic equations maple
I'm trying to plot the characteristics for the following PDE with initial conditions:
$$u_t +uu_x =0$$
where
$$u(x,0)=a \ for\ x<-1, \ b\ for\ -1<x<1, \ c \ for\ x>1.$$
I'm first ...
1
vote
2answers
37 views
How use Maple12 to solve a differential equation by using Euler's method?
Consider the differential equation $y^{\prime}=y-2$ with initial condition $y\left(0\right)=1$.
a) Use Euler's method with 4 steps of size 0.2 to estimate $y\left(0.8\right)$
I know how to do this ...
2
votes
1answer
115 views
How to draw heart shape (3D) using Maple
I'm drawing a heart shape (3D) using Maple, but I think it is not correct. Please hint to me how to draw it correctly.
with(plots);
implicitplot3d((2*x^2+y^2+z^2-1)^3-(1/10)*x^2*z^2-y^2*z^3, ...
2
votes
1answer
57 views
How to draw heart shape using Maple
I'm drawing a heart shape using Maple, but the heart-shaped curve is broken. Please hint to me how to draw it correctly.
0
votes
0answers
13 views
How to convert groebner basis of kernel into kernel with maple?
eliminiate is not for all cases, what is the correct method to convert groebner basis of
kernel into kernel
...
1
vote
1answer
81 views
Why can't I use “limit” with two unknowns?
Why does Maple 14 gives me back the whole function when I want to use "limit" with two unknown variables?
1
vote
2answers
47 views
How to plot two unknowns in maple 14?
This doesn't works in Maple 14. Why? How can I plot this function?
The original function not in maple (where is it continuous?): http://i.stack.imgur.com/vL9Qx.jpg
1
vote
1answer
42 views
How can I make this type of substitution in maple?
I have tried using subs but it is not working for what I am trying to do.
I have
r2 := (n_x^2+n_y^2-1);
and I want this expression:
...
0
votes
1answer
64 views
Using Maple to work out error terms
I have the exponential matrix using a Jordan form matrix and transition matrix:
$E(t) = e^{At}= \left[
\begin{array}{ccc}
e^{3t}+3te^{2t} & 3e^{3t}-3e^{2t}+6te^{2t} & ...
1
vote
1answer
51 views
mod after a function
I am trying to find the solution, null space, for a set of equations represented by a matrix A. The example I find is as follows:
Nullspace(A) mod 5;
I have two questions:
1 - I cannot get Maple ...
1
vote
1answer
209 views
Solving System of Differential Equations with initial conditions maple
I've been asked to solve a system of differential equations using maple (for practice, as it is solvable by hand...), but I seem to be running into goop with syntax...
d/dt r(t) = -lambda_r*r(t) + ...
0
votes
2answers
75 views
Plotting Endpoints on a Piecewise Graph in Maple
I am trying to plot a piecewise function in Maple and have the endpoints of each piece be an open circle or closed circle accordingly. To define the function, I did:
...
4
votes
3answers
128 views
How to compute Nullspace on maple?
I have the matrix
$$A := \begin{bmatrix}6& 9& 15\\-5& -10& -21\\ 2& 5& 11\end{bmatrix}.$$ Can anyone please tell me how to both find the eigenspaces by hand and also by using ...
0
votes
1answer
43 views
maple : how to extract the data.
while doing optimization in MAPLE, i am getting the output in the form of a list, which is as follows.
\begin{equation}
t=[.366595121038205462, [pr = 14.2982930082790, ps = 22.5165237470778]]
...
4
votes
2answers
169 views
Has anyone published a formula for the volume of the intersection of two balls
Math people:
I have Googled this question and searched Math Stack Exchange, and not found an answer. Given $r_1, r_0, t >0$, $r_0 \leq r_1$ I have found a formula for the volume of the ...
0
votes
0answers
37 views
How to convert continous function into discrete function [closed]
The following functions are from a book
What is the method to convert continuous function to discrete function
...
5
votes
2answers
129 views
Maple gives phantom solution to inequalities
I'm trying to get maple to solve some inequalities for me, and in particular to tell me when they have no solution. Unfortunately, it does not seem to be doing what I expect.
The following ...
1
vote
1answer
99 views
How to expand trigonometric equation into non quadratic terms in MAPLE
I'm working with partial differential equations at the moment and at a point I get a trigonometric equation like this:
$$\sin^{2}(\pi x)\cos(2 \pi x)$$
Now I would like to know how I can expand ...
1
vote
2answers
90 views
How to plot $\lbrace (x+y,x-y) \vert (x,y)\in (-1/2,1/2)^{2} \rbrace$
I want to visualize the following set in Maple:
$\lbrace (x+y,x-y) \vert (x,y)\in (-\frac{1}{2},\frac{1}{2})^{2} \rbrace$
Which commands should I use? Is it even possible?
0
votes
0answers
11 views
How these little information form a new distribution?
How these little information form a new distribution or pdf function in Maple?
...
1
vote
0answers
44 views
error in maple's CellDecomposition command
I have simple system that I want to put in celldecomposition command of maple. I don't know why maple is giving an error here! The code is
...
0
votes
1answer
43 views
Determine the matrix in a certain base
I have to determine the $Matrix F$ which describes f in comparison to the base A(a1,a2,a3,a4),
and the matrix B - which describes regarding the basis E=(e1,e2,e3,e4) for $R^4$
That is
$F =a[f]a$
...
1
vote
0answers
43 views
Displaying $2 \cdot 10^5$ as $200000$
How can I in Maple write out the number $2 \cdot 10^5$, so it displays the full number with all digits: $200000$?
By typing increasing zeros I can test Maples treshold, and I get: $20$, $200$, ...
2
votes
1answer
98 views
Is the vector in the span?
I have to show that $a_4$ is in the span of the other 3 vectors $a_1,a_2,a_3$
\begin{bmatrix}
2 &1 & 3\\
3 & -1 & 4 \\
1 & 2 & -1 \\
4 & 4 & 3 \\
...
1
vote
1answer
58 views
Maple plot problem
I'm tryin to make a 3D plot of a differential-equation. I already found:
$$\begin{align*}
&x_1' = f(t) x_4 - x_2\\
&x_2' = -f(t) x_3 + x_1\\
&x_3' = f(t) x_2 + x_4\\
&x_4' = -f(t) x_1 ...
2
votes
1answer
104 views
Finding inverse of a function that is mixture of exponentials
How can we find the inverse of this function?
$$y=\exp(ax)+\exp(bx),$$
where $a$ and $b$ are constants
0
votes
1answer
37 views
Finding relations using Maple
Suppose that one has 3 (complicated) functions $f(x)$, $g(x)$, and $h(x)$. I would like to use Maple to find any relations that may exist between these functions. For instance, if it so happens that ...
0
votes
1answer
51 views
How to change command: g:=(f,n) -> seq( subs(x=i, f) mod 12, i=1..n)?
How to change command:
g:=(f,n) -> seq( subs(x=i, f) mod 12, i=1..n)?
Maple says: Error, illegal use of an object as a name...
I try to create a melody generator that creates desired length of ...
0
votes
1answer
241 views
Bessel Function in Sturm-Liouville problem
I have the following Sturm-Liouville problem:
$$\frac{d^2 y}{dx^2}+\lambda x^2y=0,$$
where $y(0)=0$ and $y(1)=0$.
I have solved this using MAPLE and found the exact solution to be:
...
1
vote
1answer
55 views
Error in Weyl character formula computation.
I need someone with a keen eye for errors. I am trying to use the Weyl character formula for the symplectic group Sp$(4,\mathbb{C})$ on certain matrices coming from 2x2 quaternion matrices. Summing ...
0
votes
2answers
99 views
Area & Arc Length of $r=1+6\sin(\theta)+\cos(6\theta)$
How do I approach this problem?
Graph the following polar curve and show that it cuts out 5 different regions. Find the area of each of those regions.
$$r=1+6\sin(\theta)+\cos(6\theta)$$
Also, find ...
0
votes
0answers
31 views
Maple - turning a list into a 2 dimensional array.
I have an very long list of numbers LIST (196) that I wish to turn into a 14x14 Array but using the convert(LIST,Array) only gives me a 1 dimensional array.
In Maple code, this will give me my first ...
0
votes
1answer
38 views
Maple: How do I show vectors with many elements?
As the header says: How do I show vectors in their full form, when they have many elements?
Instead of just seeing some vector data that Maple shows, when the vector is too long:
I recall seeing a ...
2
votes
1answer
128 views
Symbol for derivative in MAPLE
I am trying to use MAPLE to do some computations involving system of equations which terms are derivatives of functions.
When I type diff(alpha(x),x) it shows ...
1
vote
2answers
441 views
Degrees and radians in Maple
Does Maple give the possibility to switch between degrees and radians while making calculations? If so, how do you switch?
1
vote
1answer
126 views
How to numerically solve such differential system (ODE, Nonstationary, Nonhomogeneous) (what steps to take)?
So I have next system with boundary conditions:
Maples sol:=dsolve([sysG, bc]) and ...
0
votes
1answer
28 views
how to find matrix exponental of a fourth order matrix in Maple12
how to find matrix exponental of the fourth order matrix in Maple 12 given below
$$
\left(\begin{array}{cccc}
-2&3&1&0\\
1&-4&1&1\\
0&1&-3&2\\
...
